A ball is projected at an immovable wall with a speed vi and bounces back the wall in such a manner that it only has 1/3 of its original linear momentum. a) Determine what fraction of the kinetic energy is lost in the collision.

Answers

Answer 1

The fraction of the kinetic energy of the ball lost during the collision is [tex]\frac{1}{3}[/tex].

The given parameters;

initial speed of the ball, = vifinal momentum of the ball, Pf = ¹/₃Pi

The initial and final momentum of the ball is calculated as;

[tex]P_i = m_ivi[/tex]

[tex]P_f = m_fv_f = \frac{1}{3} m_iv_i[/tex]

The initial and final kinetic energy of the ball is calculated as;

[tex]K.E_i = \frac{1}{2} m_iv_i^2 = \frac{1}{2} P_iv_i\\\\K.E_f = \frac{1}{2} m_fv_f^2= \frac{1}{2} (\frac{1}{3} P_iv_i)= \frac{1}{6} P_iv_i[/tex]

The change in the kinetic energy is calculated as;

[tex]\Delta K.E = K.E_f - K.E_i \\\\\Delta K.E = \frac{1}{6} P_iv_i - \frac{1}{2} P_iv_i = \frac{1}{3} P_iv_i[/tex]

Thus, the fraction of the kinetic energy of the ball lost during the collision is [tex]\frac{1}{3}[/tex].

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Related Questions

Question 1
A block with a mass of 2.5 kg slides with a velocity of 3 m/s on a frictionless surface. It hits a horizontal spring with a spring constant of 10 N/m. How much is the
spring compressed when the block stops?

Answers

Answer:

The kinetic energy of the sliding block is =1/2×m×v  

2

 =1/2×4×2  

2

=8 J

Now since there is no friction on the surface then it is a conservative system. So all the energy of the block will be transferred to the spring and will store as a potential energy. Suppose it will compress the spring by an amount of x m. So the potential energy of the spring will be =1/2×k×x  

2

 

Equating there two energies and solving for x, we will get, 1/2×k×x  

2

=8

Or  0.5(400)x  

2

=8

⟹x=0.2 m.  

Explanation:

What is the net force on a 4,000-kg car
that doubles its velocity from 15 m/s west
to 30 m/s west over 10 seconds?

Answers

Answer:

6000 N toward west

Explanation:

F = ma

a = 30-15/10 = 1.5 m/s^2 towards west

m = 4000 kg

F = 4000 x 1.5 = 6000 N towards west

Suppose cars start at a car race. In how many ways can the top 3 cars finish the race?.

Answers

Answer:

there is six ways the top three cars can finish the race

How can you cause a cart moving to the right at a constant speed to move to the left at a constant speed.

Answers

Answer:

The answer is below hoped it helped

Explanation:

Forces, when unbalanced, cause objects to accelerate. And the direction of the acceleration is the same as the direction of the extra force. Just because an object is moving to the right does not mean there is more right force than left force. Whether the right or the left force is bigger depends on whether the object is speeding up or slowing down. There must be more right force than left force if an object is moving to the right and speeding up. There must be more left force than right force if an object is moving to the right and slowing down.

In what way are liquids different from solids?.

Answers

Answer:

solid molecules are packed closely and liquid molecules are losely packed

Se aplican dos fuerzas concurrentes a un objeto de 4N a la derecha y 5N a la izquierda. ¿Hacia donde se movió y con cuanta fuerza?

Answers

The forces move strongly towards the left by 1N

Given the following

Force towards the right = 4N

Force towards the left = 5N

Note that the force acting towards the left is negative, hence the force acting towards the left is -5N

Take the sum of force

Resultant force = -5N + 4N

Resultant force = -1N

This shows that the forces move strongly towards the left by 1N

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1. How much heat is released when a 25 g sample of water (c = 4.184) is cooled from 99 °C
to 75 °C?

Answers

you use the following formula Q=mc(T-T) and Q=25x4.184x(75-99) and the final answer is approximately 2500j is lost

How far from the center of the earth is the center of mass of the earth moon system?.

Answers

Answer:

With a typical distance of 384,400 kilometers separating Earth and the moon's centers, that works out to a center of mass that is roughly 379,700 kilometers from the moon's center and about 4,700 kilometers from Earth's. Explanation:


1. An object would have a different mass on Earth as it would have on the moon.
a. True
b. False

Answers

Answer:

a.true

Explanation:

because the gravitational strength of earth and moon is different

I will give a 5-star answer and Brainlest
Direct contact is necessary for which type of energy transfer?
A. Conduction
B. Sound Waves
C. Convection
D. Radiation

Answers

Answer:

D

Explanation:

 

Which type of forces creates contact between surfaces?

Answers

Answer:

Frictional Force: Frictional force is the force caused by the relative motion of two surfaces that come into contact with each other.

unlike acceleration and velocity, speed does not need to specify

Answers

Unlike acceleration and velocity, speed does not need to specify the direction of motion. Speed is a scalar quality.

An escalator in a busy shopping centre lifts people up from one floor to another. This takes 1.2 MJ every minute. What is the power output of the escalator motor? Give your answer in kW.

Answers

An escalator that takes 1.2 MJ every minute has a power output of 1200 kW.

An escalator used to lift people up from one floor to another, exerts a work (w) of 1.2 MJ in 1 minute (t).

In physics, power (P) is the amount of energy (w) transferred or converted per unit time (t).

[tex]P = \frac{w}{t} = \frac{1.2 \times 10^{6} J }{1min} = 1.2 \times 10^{6} W[/tex]

We can convert 1.2 × 10⁶ W to kW using the conversion factor 1 kW = 1000 W.

[tex]1.2 \times 10^{6} W \times \frac{1kW}{1000W} = 1200kW[/tex]

An escalator that takes 1.2 MJ every minute has a power output of 1200 kW.

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How to find angular velocity of an object traveling at a constant speed.

Answers

I only know the formula which is ω = 2πf

Bijan wanted to find the density of a piece of metal. He weighed it. Them he measured its volume by placing it in measuring cylinder which was half-full of water. Here are his measurements: Mass of metal - 196.0 g, reading on measuring cylinder (water only) = 45 cm3 and reading on measuring cylinder (water + metal) = 68 cm3. What is the density of the piece of metal?

Answers

density equals mass over volume. density= 196/(68-45)
density=4.4 g/cm3

what is the name of the spot where man first walked on the moon

Answers

Answer:

the tranquility base

Explanation:

What’s the mass of the continent?

Answers

Answer:

Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rock

iam help for youthankscommentflowing

Solve 100N up 90N down for net force

Answers

Answer:

10 Newtons up

Hope this helps!

In motion pictures, what do you call the lens manipulation where the focus quickly changes from one subject to the next in a motion picture

Answers

Answer:

A film transition is a technique used in the post-production process of film editing and video editing by which scenes or shots are combined. Most commonly this is through a normal cut to the next shot. Most films will also include selective use of other transitions, usually to convey a tone or mood, suggest the passage of time, or separate parts of the story. These other transitions may include dissolves, L cuts, fades (usually to black), match cuts, and wipes.

Explanation:

choose 3 ways to keep our bodies healthy
. play in the mud
.sanitize your hands
. break a window
. eat vegies
. eat burgers
. take daily showers
. bite your arm
(i already know it)

Answers

Sanitize your hands, eat veggies, take daily showers. Hope this helped! (No explanation needed lol)



This was fun to answer.

ECONOMIC Q‼️
Which of these is a common concern of an economist ?

A-The distributions of populations and earths resources
B-How people have organized the rules and laws of their societies
C-The cultural habits and social customs of societies
D-How well resources are used by a society

Answers

Answer:

D-How well resources are used by a society

Explanation:

Most economists are concerned with practical applications of economic policy in a particular area, such as finance, labor, agriculture, transportation...

Hope this helps luvv :)

Tall trees collapse in stoms, why?​

Answers

Answer: One main reason, all three experts agree, is the phenomenon known as “windthrow” which uproots a tree. “The tree trunk acts as a lever and so the force applied to the roots and trunk increases with height,” says Foster. “Taller trees are more susceptible to windthrow.”

Which jet stream affects weather In South Africa?

Answers

Answer:

The low-level easterly African jet stream is considered to play a crucial role in the southwest monsoon of Africa, and helps form the tropical waves which move across the tropical Atlantic and eastern Pacific oceans during the warm season.

Explanation:

what is the meaning of life?

Answers

Answer:

the condition that distinguishes animals and plants from inorganic matter, including the capacity for growth, reproduction, functional activity, and continual change preceding death.

Explanation:

hope this helps

Since the coefficient of friction is less than 1, what does that mean about the normal force and the force of friction?

Answers

Answer:

there is friction between the two things

Explanation:

How to find the energy in a compressed spring.

Answers

Energy stored in a spring
Work is done when a spring is extended or compressed . Elastic potential energy is stored in the spring. ...
The elastic potential energy stored can be calculated using the equation:
elastic potential energy = 0.5 × spring constant × (extension) 2

PLEASE HELP!!

Identify how each machine changes the way work is done so as to
be useful.

Bicycle

Ax blade

Car jack

Answers

When you pedal a bike with chains attached to it, the wheel spins as you exert force from your body into the pedaling. The chains are connected to an almost circular shape.

How machine changes the way of work?

Contrary to popular assumption, using machines does not result in more work being done. They merely alter the method of operation. Machines make work easier by increasing the amount of force used, extending the distance over which the force is exerted, or changing the direction of the force.

Simple machines are helpful because they lessen effort or enable humans to execute things that would normally be beyond their capacity. The wheel and axle, pulley, inclined plane, screw, wedge, and lever are examples of simple devices that are frequently employed.

To learn more about machine changes the way of work refer to:

https://brainly.com/question/902575

#SPJ2


How fast should a girl of 35 kg run so that her kinetic energy becomes 700J
of?

Answers

V^2 = 700J/0.5*35kg

V = square root of 40

v = 6.324 m/s

Answer:

√40m/sec

Explanation:

As we know Kinetic energy = 1/2 mv^2

700 = 1/2 x 35 x v^2

1400/35 = v^2

√40 = v

So v, √40m/sec

Hope this helps you.

NO LINKS! What are the definitions of initial horizontal velocity and initial vertical velocity? Please help! This like is my 10th time asking this question because many people have been scamming me...

Answers

Answer:

Additionally, the initial horizontal velocity may be calculated by measuring the diameter d of the ball and dividing the result by the amount of time t required for the ball to pass across the photogate. Vo = d/t is the formula.

Initial vertical velocity is the vertical component of the initial velocity: v 0 y = sin 0 sin 0 = (30.0 m/s) sin 45° = 21.2 m/s

Explanation:

Hope it helps:)

Guys plz i need those answers as soon as possible

Answers

9) a) formula = h(ρ)g by default g=9.8m/s²

Pressure = 2×1000×9.8 = 19600Pa

b)

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